5014-Integration Inverse Trig AP Calculus

Remember Patterns: 1 x y x y 1 x y 1

Remember Derivaties:

Generalize: Looks like arcsin pattern except NOT 1 -

MEMORIZE ! a is a constant. u = f (x)

Examples: Straight Plug In

Examples: Normal U - du Problem ? Inverse Trig. (also has a U-du component)

Arctan vs. Ln Always check ln first !

Example (introduce a variable factor): U - du ???? arcsec ???? REM: NEVER CROSS the with a variable ! ! !

Example (introduce a variable factor): arcsec ???? U - du

Examples (Complete the square): ADD ZERO -

Examples (Complete the square): Negative lead

Examples (Complete the square): Non-one lead

Examples (THINK): ADD ZERO

Last Update: 02/06/06 Assignment: Worksheet Larson 5.8